Topic: Communication Systems
A signal having frequency component from DC-2 kHz is to be Pulse code Modulated with a 6 bit Encoder. Minimum carrier bandwidth required is?
- A. 4 kHz
- B. 128 kHz
- C. 16 kHz
- D. 12 kHz
Answer: D. 12 kHz
Explanation: The maximum frequency component of the signal is $f_{max} = 2$ kHz. The minimum sampling frequency is the Nyquist rate, $f_s = 2f_{max} = 4$ kHz. With a 6-bit encoder ($n=6$), the bit rate is $R_b = n \times f_s = 6 \times 4\text{ kHz} = 24$ kbps. The minimum baseband carrier bandwidth required for transmission is $R_b / 2 = 12$ kHz.